I think it depends upon the reason you’re AI’n.
The larger the diameter of the bullet atop an 06 case the less gain there is capacity-wise from AI’n so in that respect a 338 doesn’t seem like a good candidate.
On the other hand AI’n reduces case stretch so trimming is left to a minimum which is nice.
If you have a .30-06 in the stable and want to use 06 brass the AI shoulder will make recognition of one from another easier if things get confused.
I personally used .270 brass when I had a 338-06 and it worked beautifully, requiring an initial trim and anneal job.
